Exchanging torsion modules over Dedekind domains

DOI10.1007/BF01191164zbMath0677.13002MaRDI QIDQ1123230

Birge Zimmermann Huisgen

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

direct-sum decompositionsDedekind domainexchange propertytorsion module

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Torsion modules and ideals in commutative rings (13C12)

Related Items

Finitely generated projective modules over exchange rings, On modules for which the finite exchange property implies the countable exchange property

Cites Work

• Unnamed Item
• Classes of modules with the exchange property
• Refinements for infinite direct decompositions of algebraic systems
• An isomorphic refinement theorem for certain Abelian p-groups
• Decompositions of injective modules
• On direct sums and products of modules
• Lifting Idempotents and Exchange Rings